Simpson's method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model

doi:10.1088/1402-4896/ac1e5a

CSpace

	Simpson's method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model
	Arshad, Sadia 1; Saleem, Iram 1; Defterli, Ozlem 2; Tang, Yifa 3; Baleanu, Dumitru 2,4
	2021-12-01
发表期刊	PHYSICA SCRIPTA
ISSN	0031-8949
卷号	96 期号:12 页码:19
摘要	This manuscript is devoted to describing a novel numerical scheme to solve differential equations of fractional order with a non-singular kernel namely, Caputo-Fabrizio. First, we have transformed the fractional order differential equation to the corresponding integral equation, then the fractional integral equation is approximated by using the Simpson's quadrature 3/8 rule. The stability of the proposed numerical scheme and its convergence is analyzed. Further, a cancer growth Caputo-Fabrizio model is solved using the newly proposed numerical method. Moreover, the numerical results are provided for different values of the fractional-order within some special cases of model parameters.
关键词	fractional operator with the non-singular kernel numerical approximation stability analysis convergence analysis tumor model chaos
DOI	10.1088/1402-4896/ac1e5a
收录类别	SCI
语种	英语
资助项目	Scientific and Technological Research Council of Turkey (TUBTAK)
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000693412900001
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59228
专题	中国科学院数学与系统科学研究院
通讯作者	Arshad, Sadia
作者单位	1.COMSATS Univ Islamabad, Lahore Campus, Lahore 54000, Pakistan 2.Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkey 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 4.Inst Space Sci, Magurele 077125, Romania
推荐引用方式 GB/T 7714	Arshad, Sadia,Saleem, Iram,Defterli, Ozlem,et al. Simpson's method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model[J]. PHYSICA SCRIPTA,2021,96(12):19.
APA	Arshad, Sadia,Saleem, Iram,Defterli, Ozlem,Tang, Yifa,&Baleanu, Dumitru.(2021).Simpson's method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model.PHYSICA SCRIPTA,96(12),19.
MLA	Arshad, Sadia,et al."Simpson's method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model".PHYSICA SCRIPTA 96.12(2021):19.